Asymptotic Method for Certain over-Damped Nonlinear Vibrating Systems

Dynamic Analysis of Linear Structural Systems with Nonlinear Vibrating Isolators Using Mode Superposition Method

Dynamic Analysis of Linear Structural Systems with Nonlinear Vibrating Isolators Using Mode Superposition Method

Minimal coupling method and quantum damped vibrating string

Quantum mechanics of a damped vibrating string investigated by its coupling with an infinit number of Klein-Gordon fields as environment by introducing a minimal coupling method. Heisenberg equation containing a dissipative term proportional to velocity obtained, quantum dynamics for such a dissipative system investigated. Some kinematical relations for a damped vibrating string by eliminating ...

Statistical energy analysis of nonlinear vibrating systems.

Nonlinearities in practical systems can arise in contacts between components, possibly from friction or impacts. However, it is also known that quadratic and cubic nonlinearity can occur in the stiffness of structural elements undergoing large amplitude vibration, without the need for local contacts. Nonlinearity due purely to large amplitude vibration can then result in significant energy bein...

Asymptotic Behavior of Solutions to the Damped Nonlinear Hyperbolic Equation

(x 1 , . . . , x n ) ∈ Rn and t > 0, k 1 > 0 and k 2 > 0 are constants. The nonlinear termf(u) = O(u1+θ) and θ is a positive integer. Equation (1) is a model in variational form for the neoHookean elastomer rod and describes the motion of a neoHookean elastomer rod with internal damping; for more detailed physical background, we refer to [1]. In [1], the authors have studied a general class of ...